摘要
介绍了迭代函数系统的基本理论以及伴随概率在迭代函数系统中的作用。以正方形和蕨叶为例,揭示了IFS中概率对分形图的影响。指出概率虽然不能改变吸引集的最终形状,但可利用概率控制拼贴图形各部分的落点密度,从而使图形在有限步迭代后显现出浓淡虚实不同的层次,为图形的生成和变换提供一种有效的途径。
The basic principle and the action of accompanied probability in iteration function system are introduced. Taking squares and fern leaves as examples, the influence of probability on IFS' fractal graphics is discovered. Though it won't change the ultimate shape of the attracting set graphics, probability still is the important information for it. Changing points' density by probability will result in different fractal graphics effectively.
出处
《工程图学学报》
CSCD
北大核心
2008年第2期153-157,共5页
Journal of Engineering Graphics
关键词
计算机应用
分形几何
IFS码
概率
仿射变换
computer application
fractal geometry
IFS code
probability
affine transformation